解一元二次方程 3(x-2)^2-x(x-2)=0 X^2-2根号3X+2=0
问题描述:
解一元二次方程 3(x-2)^2-x(x-2)=0 X^2-2根号3X+2=0
答
3(x-2)^2-x(x-2)=03(x²-4x+4)-x²+2x=02x²-10x+12=02(x²-5x+6)=02(x-2)(x-3)=0x=2或x=3X^2-2根号3X+2=0(x-根号3)²+2-3=0(x-根号3)²=1x-根号3=±1x=±1+根号3